State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28

Answers

Answer 1

Answer:

1

Step-by-step explanation:

I believe it is 1. Just picture or draw a diagram of the constraints. Don't quote me on this though...

Answer 2

Answer:

Step-by-step explanation:

apply sine formula

[tex]\frac{a}{sin ~A} =\frac{b}{sin~B} \\\frac{25}{sin~58} =\frac{28}{sin ~B} \\sin~B=\frac{28}{25} \times sin~58\\B=sin^{-1} (\frac{28}{25} \times sin ~58)=71.77 \approx 72 ^\circ[/tex]

so third angle=180-(58+72)=180-130=50°

∠C=50°

[tex]cos ~C=\frac{a^2+b^2-c^2}{2ab} \\or ~2abcos~C=a^2+b^2-c^2\\2*25*28*cos ~50=25^2+28^2-c^2\\c^2=625+784-1400 *cos~50\\c^2=1409-899.90\\c^2=509.1\\c=\sqrt{509.1} \approx 22.56 \approx 22.6[/tex]

so one triangle is formed.


Related Questions

Write three integers that do not ali have the same sign that have a sum
of -20.

Answers

Well, we can use negatives and positives:
3 - 27 + 4

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]? There are four points connected by a curve on the graphs. The points are (0, 0), (5, 1), (9, 6), (11, 11). Two-fifths 1 2 Five-halves

Answers

Answer:

Below

Step-by-step explanation:

Let f be our function:

● f(9) = 6

● f(11) = 11

Let m be the average speed over the interval [9,11]

● m = [f(11)-f(9)] / 11-9

● m = 11-6 / 2

● m = 5 / 2

● m = 2.5

So the answer is five halves.

Answer:

5/2

Step-by-step explanation:

D on edge

Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

9514 1404 393

Answer:

  7.56 cm

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3b²h . . . . where b is the base edge length, and h is the height.

Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...

  144 cm³ = 1/3h³

  432 cm³ = h³

  h = ∛432 cm ≈ 7.55953 cm

The height of the pyramid is about 7.56 cm.

Answer:

[tex]7.56cm[/tex]

Step-by-step explanation:

Given that,

base length = Height

so,

[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]

We can also write this as( according to this question)

[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]

let's solve

[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]

[tex]base = height = 7.55cm \\ [/tex]

= 7.56cm

ranika wanted her friend radhika's mobile number. but radhika played a trick. she gave her the number as 9 X Y Z P 1 Q 2 R 3

Answers

Answer:

Ranika should have known since the series of letters and numbers Radhika gave her don't make out to be a legal phone number.

Step-by-step explanation:

Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

Which statement BEST explains whether Jamal is correct or incorrect?

A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).

B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).

C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).

D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).

Answers

Answer:

c)

Step-by-step explanation:

x^2+4x-32 = (x-4)(x+8)

hence,

(x-4)(x+8) = 0

x = 4 or x = -8

the graph intersects at 4 not -4

Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0

Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3

Answers

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}[/tex]

r represents radius of cylinder.

h represents height of cylinder.

So ,

r = 6 cm

h = 16 cm

π = 3.14

Substuting the values

⇥Volume of the cylinder = π r² h

⇥Volume of the cylinder = 3.14 × 36 × 16

⇥Volume of the cylinder = 113.04 × 16

⇥Volume of the cylinder = 1808.64

Hence , the volume of cylinder is 1808.64 cm²

Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes Round your answers to the nearest tenth. The speed is equivalent to , or

Answers

Answer:

[tex]Speed = 159.4\ km/hr[/tex]

[tex]Speed = 2.6\ km/m[/tex]

Step-by-step explanation:

The question has missing details; However, the given parameters are

[tex]Speed = 99\ miles/hour[/tex]

Required

Determine the speed in

- kilometre per hour

- kilometre per minute

From the question; we have that

[tex]1\ mile = 1.61\ kilometers[/tex]

[tex]1\ hour = 60\ minutes[/tex]

[tex]Speed = 99\ miles/hour[/tex] can be rewritten as

[tex]Speed = \frac{99\ miles}{hour}[/tex]

It can be further expressed as

[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]

Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'

So;

[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

[tex]Speed = 159.39\ kilometres/hour[/tex]

[tex]Speed = 159.4\ km/hr[/tex] -- Approximated

Solving further to get kilometre per minute equivalent

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

This can be rewritten as

[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]

Recall that [tex]1\ hour = 60\ minutes[/tex]; So,

[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]

[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]

[tex]Speed = 2.5565\ kilometres/minute[/tex]

[tex]Speed = 2.6\ km/m[/tex] --- Approximated

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

20 POINTS!!! Please Help! No nonsense answers please!

Answers

Answer:

[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]

Step-by-step explanation:

Multiply. (2x - 3)(x + 4) a 2x² + 11x - 12 b 2x² + 5x - 12 c 2x² + 11x - 7 d 2x² + 3x - 7

Answers

Answer:

2x^2 +5x-12

Step-by-step explanation:

(2x - 3)(x + 4)

FOIL

first 2x*x = 2x^2

outer  2x*4 = 8x

inner  -3x

last -3*4 = -12

Add these together

2x^2 +8x-3x-12

Combine like terms

2x^2 +5x-12

Evaluate 2^2⋅4^3=

Your answer


Answers

Answer:

256

Step-by-step explanation:

First, handle the exponent:

2²=4 (2*2=4)     and     4³=64 (4*4=16*4=64)

Now multiply those two outcomes:

4*64=256

This equation is also known as 4⁴

What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3

Answers

Answer:

z= -3

Step-by-step explanation:

Given:

1/2z =-3/4 + 1/4z

Collect like terms

1/2z - 1/4z = -3/4

Add 1/2z - 1/4z

2z-z / 4 = -3/4

We have

z/4=-3/4

Same as

z(1/4) = -3/4

Divide both sides by 1/4

z(1/4) ÷ 1/4 = -3/4÷1/4

z(1/4) × 4/1= -3/4 × 4/1

z(4/4) = -12/4

z= -3

The value of z= -3

Answer:

-3

Step-by-step explanation:

I got it right on the test

999999999999999*22222222222222

Answers

Answer:

22222222222221977777777777778

Step-by-step explanation:

I hope it is clear for you. please rate brainliest

Answer: 2.22222222E+28

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

HELP ASAPPPPPP PLEASEEEE !!

Answers

Answer:

y=0

Step-by-step explanation:

Answer:

y=0           This is because if you add -5y -2y you get 0=-7y. You want to isolate the y-value so you would divide both side by 7. Once you do that you will come up with 0/-7. If you simplify that you end up getting just 0.

If MQ = 9, NP = 27, and LQ = 15, calculate the length of LP. Assume ΔLMQ ~ ΔLNP. Image not set to scale.

Answers

Answer:

LP = 45

Step-by-step explanation:

MQ/NP = LQ/LP

= 9/27

= 1/3

if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45

Answer:

[tex]\huge \boxed{45}[/tex]

Step-by-step explanation:

We can solve by using ratios since the triangles are congruent.

[tex]\displaystyle \sf \frac{MQ}{NP} =\frac{LQ}{LP}[/tex]

Let the length of LP be x.

[tex]\displaystyle \frac{9}{27} =\frac{15}{x}[/tex]

Cross multiply.

[tex]9x=15 \times 27[/tex]

[tex]9x=405[/tex]

Divide both sides by 9.

[tex]\displaystyle \frac{9x}{9} =\frac{405}{9}[/tex]

[tex]x=45[/tex]

Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?

Answers

Answer:

Step-by-step explanation:

333 times 555=184815

777 times 444=344988

now add 184815+344988=529803

Round 2.1 to the nearest whole number.

Answers

When you round 2.1 to the nearest whole number, the answer will be 2.

Answer:

2 is the answer

Step-by-step explanation:

to round 2.1 to the nearest whole number consider the tents value of 2.1 which is 1 end less than five therefore we have to round down the ones place value of 2.1 . 2 remains 2 and the decimal point is removed.

2.1 to the nearest whole number is 2

please help you can answer it by saying something like option 3 or option 2 that would be ok ​

Answers

Answer:

maby option 5

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option A, 168 km³

Step-by-step explanation:

Volume of the rectangular prism,

7×4×6

= 168

Simplify the expression in simplest form (3x - 5)x4 +2

Answers

I think it’s 12x-22.

Answer:

12x-8

Step-by-step explanation:

We can use PEMDAS to solve this expression.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

The first step to do is use the distribute property to simplify the parenthesis.

The second step will be to simplify the exponent, but there aren't any so we can skip that step.

The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.

The fourth step will be to add -20 with 2. We then get -18.

And finally, we have our answer

(3x - 5)x4 +2

12x-20+2

12x-18

how can i learn math well?

Answers

Redo the answers over and over until you understand the situation

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

Part b. is the second part of this question.

If you could explain to me or answer, I'd really appreciate it. This is sort of urgent, so I'd need to get it done soon. Thank you.

Answers

Answer:

I have tried but I can't sorry friend

Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.

Answers

Answer:

Step-by-step explanation:

369 = x + (x+2) + (x+4)

369 = 3x + 6

363 = 3x

121 = x

now that we know that x = 121, we can solve the equation by plugging in the variable

369 = x + (x+2) + (x+4)

369 = 121 + 123 + 125

369 = 369

The smallest three integers are 121,123 and 125.

Let, the smallest odd integers be n

Then according to the given condition,

[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]

So, the numbers are,

[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]

Learn More:https://brainly.com/question/2254193

2. Distribute the -1
(6h + 4) - (2h - 3)

Answers

Answer:

6h+4  -2h +3

Step-by-step explanation:

(6h + 4) - (2h - 3)

Distribute

6h+4  -2h +3

can someone help me please.

Answers

Answer:

A. 11.18

Step-by-step explanation:

(1, -2) will be x1 and y1.

(-9, 3) will be x2 and y2

The formula is

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute in all the variables.

[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]

Solve.

[tex]\sqrt{(-10)^2+5^2}[/tex]

[tex]\sqrt{100+25}[/tex]

[tex]5\sqrt{5}[/tex]

11.18033988.....

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

11.18 units

Step-by-step explanation:

d = distance

d = √((x2 - x1)² + (y2 - y1)²)

Where the first point = (x1, y1)
Where the second point = (x2, y2)

Points: (1, -2) & (-9, 3)

d = √((-9 - 1)² + (3 - -2)²)

d = √((-10)² + (5)²)

d = √((100) + (25))

d = √125

d = 11.18

The distance is 11.18 units








12) Express in standard form :
a) 0.000000056 b) 56780000000 c) 1923.8
13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their
diameters.

Answers

Answer:

part a)

Step-by-step explanation:

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

Answers

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

-5x12 step by step ….

Answers

Answer -60
Steps ignore the negative and multiple 5x12 then add the negligible with ur answer

-(5x12)
^
-60

Answer: 60

Step-by-step explanation:

5+5+5+5+5+5+5+5+5+5+5+5=12 so 5x12 is 60 use repeated addition

In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.

Answers

Answer:

the perimeter of ΔABC is 32in

Step-by-step explanation:

We know that intersection point of the angle bisectors refers to the incenter of the triangle,.

Given tmthe radius of 4inch for the centre of the incircle.

One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value

In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as

d = 1/2(a +b -c)

And a, b, c represent lengths of the sides

We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the

distance from the right-angle vertex C to the incircle touchpoints .

We can determine the sum a+b as

4 = (1/2)(a+b -12) .

4/(1/2)= (a+b -12)

8= (a+b -12)

20=a+b

Which is the addition of length of the two legs of the triangle.

We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.

perimeter = 20 in + 12 in = 32 in

Therefore, the perimeter of ΔABC is 32in

Can someone help me on this math question its confusing ill give brainly when right!!!

Answers

7m + 6n.
You combine all the Ms and all the ns, then you write the terms in alphabetical order, so the Ms go first!
So, all we are doin is combining like terms, so m + 4m + 2m = 7m, so we have 7m + 6n.

Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?​

Answers

Answer:

729000 year it's price will Rs 729000

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What is f ( 1/3)? When the function is f(x) =-3x+7 Luther Corporation Consolidated Balance Sheet December 31, 2006 and 2005 (in $ millions) Assets 2006 2005 Liabilities and Stockholders' Equity 2006 2005 Current Assets Current Liabilities Cash 58.5 Accounts payable 73.5 Accounts receivable 39.6 Notes payable / shortterm debt 9.6 Inventories 42.9 Current maturities of longterm debt 36.9 Other current assets 3.0 Other current liabilities 6.0 12.0 Total current assets 144.0 Total current liabilities 132.0 LongTerm Assets LongTerm Liabilities Land 62.1 Longterm debt 168.9 Buildings 91.5 Capital lease obligations Equipment 99.6 Less accumulated depreciation () (52.5) Deferred taxes 22.8 22.2 Net property, plant, and equipment 200.7 Other longterm liabilities Goodwill 60.0 Total longterm liabilities 191.1 Other longterm assets 63.0 42.0 Total liabilities 323.1 Total longterm assets 242.7 Stockholders' Equity 63.6 Total Assets 386.7 Total liabilities and Stockholders' Equity 386.7 Refer to the balance sheet above. Luther's current ratio for 2006 is closest to: You bought one of Great White Shark Repellant Co.s 6.6 percent coupon bonds one year ago for $1,056. These bonds make annual payments and mature 11 years from now. Suppose you decide to sell your bonds today, when the required return on the bonds is 4.5 percent. The bonds have a par value of $1,000. If the inflation rate was 3.2 percent over the past year, what was your total real return on investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Find the distance of the translation.Round your answer to the nearest hundredth. Which of the following would ATP NOT be used for as energy? A. Healing a cut B. Osmosis C. Push ups D. Keeping warm convert the following to decimal fractions 99 by 5 HELP!!!!! ASAP I'm getting confused and It's to long to solve it online! That house (belong) ... to Mr. Green how are artifacts used in the beginning of the story 1.89 people need to ride the elevator to the top of the skyscraper. The elevator can hold 17 people at a time . How many trips will the elevator need to make ? If you have a 200g sample of a radioactive isotope that has a half life of 50 years, hcmuch will you have left at the end of 200 years?a. 12.5 gb. 100 gc. 50 gd. 25 g I am confused on this problem, taking a testSelect the correct answer from the drop-down menu.Read the excerpt. Then choose the correct way to complete the sentence.The rhetorical appeal found in this excerpt of the speech is went to the lake.is that a sentence or a fragment Who did the Declaration of Independence address URGENT PLEASE HELP 1. Describe in your own words why physical activity and exercise are important to fitness and wellness.2. Do you think chronic diseases, and muscular and skeletal injuries, can be completely avoided based on your behaviors? Explain why or why not The diverse group of voters who supported the Democratic Party in elections during the 1930s and 1940s were called the: A. New Age voters B. New Deal coalition C. New Liberty party D. New Frontier generation within the report wizard which of the following would you change in order to view a report in landscape orientation If the sequence of bases on the mRNA codon is AUU, what would be the sequence of bases on the opposite strand assembled by the tRNA?A. UUAB. TAAC. ATTD. UAA literacy is prerequisite of development. justify this statement with examples The report "Teens and Distracted Driving: Texting, Talking and Other Uses of the Cell Phone Behind the Wheel" summarizes data from a survey of a representative sample of 800 teens between the ages of 12 and 17. The following statements were made on the basis of the resulting data.- 75% of all American teens own a cellphone- 66% of all American teens use a cellphone to send a receive text messages- 26% of American teens age 16-17 have used a cellphone to text while drivingRequired:a. Is the inference made one that involves estimation or one that involved hypothesis testing?b. What is the population of interest? American teenagers? American teenagers between ages 12-17? Americans? Teenagers?